Given:
A dilation centered at the origin with a scale factor of 2 can be denoted
with the following notation:
[tex]D_2(x,y)=(2x,2y)[/tex].
To find:
The [tex]D_4[/tex] for point A (-2, 3).
Solution:
If [tex]D_2(x,y)=(2x,2y)[/tex], then
[tex]D_4(x,y)=(4x,4y)[/tex]
Substitute x=-2 and y=3 in the above rule to find [tex]D_4[/tex] for point A (-2, 3).
[tex]D_4(-2,3)=(4(-2),4(3))[/tex]
[tex]D_4(-2,3)=(-8,12)[/tex]
Therefore, [tex]D_4[/tex] for point A (-2, 3) is (-8,12).
Line a: (0,4) and (6,0)
Line b: (4,−1) and (6,2)
The slope of Line a is Answer
The slope of Line b is Answer
Answer:
Line a slope is -4/6
Line b slope is 3/2
Step-by-step explanation:
This answer is correct, because i did it on edge and go 100% (trust me!)
Solve for z.
3 + 2z = 7
z =
Solve for z.
3 + 2z = 7
z =
Answer: z=2
Step-by-step explanation:
2 x 2 = 4 + 3 = 7
Answer: Okay, the answer is z=2.
Step-by-step explanation: Step 1: Simplify the both sides of the equation: 2z+3=7.
Step. 2: Subtract 3 from the both sides: 2z+3−3=7–3.
Last but not least is step 3. Divide the both sides by 2: 2z/2=4/2. So you get z=2. I hoped my step-by-step explanation formula substitution is very helpful, please mark me as Brainliest, and have a happy holidays!!!!!!! :D
41.501÷4.7=?
Please help meee
Answer:
8.83
Step-by-step explanation:
there you go i hope it helps
Answer:
8.83
Step-by-step explanation:
Point Q was rotated about the orgin (0,0) by 180
Answer:
Whats the question?..
Step-by-step explanation:
Select all equations that have graphs with the same y-intercept.
Answer:
there ar no graphs. Wish i could help. To add a screenshot, select the paperclip icon when posting a question and add the image like that.
If you need to know how to take a screenshot on your device, tell me the brand and name of your device
Example: Brand; Acer, Name; Chromebook
Step-by-step explanation:
A, B, and C are points on the circumference of a circle, centre 0. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circle theorems in your proof.
Answer:
Kindly refer to explanation.
Step-by-step explanation:
Given that:
A,B and C are 3 points on circumference of circle with centre O.
AOB is diameter.
Kindly refer to the attached image.
To prove:
[tex]\angle ACB = 90^\circ[/tex]
Solution:
Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].
Construction: Join point A with centre O.
Considering [tex]\triangle AOC[/tex]:
Side AO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle ACO=\angle A=x[/tex]
Considering [tex]\triangle BOC[/tex]:
Side BO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle BCO=\angle B=y[/tex]
[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)
Now, in [tex]\triangle ABC:[/tex]
Using angle sum property of triangle:
[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]
By equation (1):
[tex]\angle ACB = 90^\circ[/tex]
Hence proved.
Which of the binomials below is a factor of this trinomial? X2 + 8x+16
A. X-4
B. X-8
C. X+4
D. x+8
A community center is collecting blankets. The director of the center has asked 135 families to donate 3 blankets each. If 20% of the families donated 3 blankets each, how many blankets did the center collect from these families?
81
27
115
50
Pls pls help
Answer: 81
Step-by-step explanation: 20% of 135= 27, and 27x3=81
Help...... ._. ........ Me
Bobs new bike has 26 inch diameter wheels.what is the circumference of the new wheel.Give answer to 1 decimal place
Answer:
The circumference of Bob's new wheel is 81.7 inches
Step-by-step explanation:
Circumference of a circle
The circumference of a circle of radius r is given by:
[tex]C=2\pi r[/tex]
The radius is half the diameter:
r = d / 2 = 26 / 2 = 13
r = 13 inch
Now calculate the circumference:
[tex]C=2\cdot\pi\cdot 13[/tex]
Calculating:
[tex]C=81.7\ inch[/tex]
The circumference of Bob's new wheel is 81.7 inches
Given the points A(-2, 5) and B(2, 3), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 4 to 1.
Answer:
The answer to your question is: Point (-1/2 , 17/4)
Step-by-step explanation:
Data
A(-2, 5)
B (2, 3)
ratio 3:5 r = 3/5
Formula
Process
x =
x = -1/2 y = 17/4Data
A(-2, 5)
B (2, 3)
ratio 3:5 r = 3/5
Formula
Process
x =
x = -1/2 y = 17/4Data
A(-2, 5)
B (2, 3)
ratio 3:5 r = 3/5
Formula
Process
x =
x = -1/2 y = 17/4Data
A(-2, 5)
B (2, 3)
ratio 3:5 r = 3/5
Formula
Process
x =
x = -1/2 y = 17/4
The coordinates of the point P is (6/5, 17/5).
Given that, the points A(-2, 5) and B(2, 3) and the line segment divided in the ratio 4:1.
What is the section formula?The Section formula is used to find the coordinates of the point that divides a line segment (externally or internally) into some ratio.
The section formula is [tex]P(x,y)=(\frac{mx_{2}+nx_{1} }{m+n}, \frac{my_{2}+ny_{1} }{m+n} )[/tex].
Here, m:n=4:1, (x1, y1)=(-2, 5) and (x2, y2)=(2, 3)
Now, P(x, y) = [tex](\frac{4\times 2+1 \times (-2)}{4+1} , \frac{4\times 3+1 \times 5}{4+1} )[/tex]
=(6/5, 17/5)
Therefore, the coordinates of the point P is (6/5, 17/5).
To learn more about the coordinate geometry visit:
https://brainly.com/question/18269861.
#SPJ2
Solve for the line, Thank you!
Solving by substitution y=-7x+6 with 5x+y=2
Answer:
x=1/3,y=3
Step-by-step explanation:
y=7x+6_____equation1
5x+y=2_____equation2
substitute y into equation 2
5x+7x+6=2
12x+6=2
12x=2-6
12x=-4
x= -1/3
substitute X into equation 1
y=7x+6
y=7(-1/3)+6
y=-7/3+6
y=9/3
y=3
Estimate the solution of the system of equations. Write the answer as an ordered pair.
Answer:
Solution of the given system of equations is (1, 2.5)
Step-by-step explanation:
From the graph attached,
Two intersecting lines represent the system of equations.
And the solution of the system of equations is a common point where these lines intersect.
Graph shows both the line are intersecting each other at (1, 2.5).
Therefore, solution of the given system of equations will be (1, 2.5).
Cydney is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line p and labels two points on the line as (0, a) and (b, 0). Enter the answers, in simplest form, in the boxes to complete the proof. The slope of line p is . Rotate line p 90° counterclockwise about the origin to get line q. The labeled points on line p map to (−a, 0) and ( , ) on line q. The slope of line q is . The slopes of the lines are opposite reciprocals because the product of the slopes is .
Answer:
Slope of p = -a/b
(0, b) is on line q
Slope of q = ( b - 0) / (0 - -a) = b/a
Product of the slopes = (-a/b) (b/a) = (-ab) /(ab) = -1
I hope this helps (: Have a whimsical day! lol
2 (x - 2/3) = 0
solve for x
Answer:
x = 2/3
Step-by-step explanation:
2(x-2/3)=0
2x-1 1/3=0
2x=1 1/3
Devide both sides by 2
x=2/3
rica walks to her friend Philip's house. The graph shows Erica's distance from home over time.
Find the rate of change from 1 minute to 2 minutes.
factor x to the fourth-5x squared+4
Answer:
Work shown below!
Step-by-step explanation:
[tex]x^{4}-5x^{2} +4[/tex] = [tex]0[/tex]
[tex]A[/tex] = [tex]x^{2}[/tex]
[tex]A^{2} -5A+4[/tex] = [tex]0[/tex]
[tex](A-1)(A-4)[/tex] = [tex]0[/tex]
[tex](x^{2}-1)(x^{2} -4) =0\\(x-1)(x+1)(x-2)(x+2)=0[/tex]
x - 1 = 0
Add 1 to both sides;
x = 1
x + 1 = 0
Subtract 1 from both sides;
x = -1
x - 2 = 0
Add 2 to both sides;
x = 2
x + 2 = 0
Subtract 2 from both sides;
x = -2
Find the slope of line
Answer:
2/4
Step-by-step explanation:
rise/run
go up (rise) 2, run 4
2/4
Brainliest 5 stars and thank you! (correct answers only)
What is the qoutient?
Answer: the answer is the first one
Step-by-step explanation:
If
M
is the midpoint of AB¯¯¯¯¯¯¯¯
A
B
¯
. If A (4, 0)
A
(
4
,
0
)
and M(2, 1.5)
M
(
2
,
1.5
)
, then find the coordinates of B
B
.
Answer:
this question a little confusing but i think its b= when u multiply
CAN YOU HELP ME thank you 10pts
9514 1404 393
Answer:
m∠CAB = 62°
m∠CBG = 114°
Step-by-step explanation:
Given:
the above figure
Find:
What are the measures of angles CAB and CBG
Solution:
The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.
So, angle CBE = 150° -84° = 66°
Angle CBG is the supplement of this, so is ...
m∠CBG = 180° -66° = 114°
That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...
m∠CAB = 114° -52° = 62°
I REALLY NEED HELP QUICK!
Answer:
y=1/2x-5
Step-by-step explanation:
From the picture you can see that (0, -5) is a point on the function and that (2, -4) is another point. Using these you can find the slope of the function with the equation
[tex](y_{2} -y_{1})/(x_{2}-x_{1} )[/tex]
We can substitute in the points so it looks like
[tex](-4--5)/(2-0)[/tex] or [tex]1/2[/tex] which is the slope of the function
Now, since the y-intercept is (0, -5) on the graph, the b part in the slope-intercept form of the equation would be -5, leaving us with the equation y=1/2x-5
What is the slope intercept formula for a vertical line?
Answer:
there isnt one i dont think. since the line never has a slope and rarely a y-intercept would be not way for an equation to be made unless it wa y=mx+b but that just slop intercept form. I dont know if that righ but ig u can try it
Step-by-step explanation:
1(x-31)= 5(2+5)vvvvvb
Answer:
1x-31=35
1x=35+31
1x=66
x=66
PLEASE HELP This is solving Exponential and Logarithmic Equations I got the other ones, but I don’t even know what this says to be honest please help.
Answer:
Step-by-step explanation:
We have
[tex]e^\frac{x}{2}^l^n^3 = 5\\[/tex]
[tex]ln(e^\frac{x}{2}^l^n^3) = ln(5)\\\frac{x}{2}ln(3) = ln(5)\\\frac{x}{2} = \frac{ln(5)}{ln(3)} \\x = \frac{2ln(5)}{ln(3)}[/tex]
[tex]x = 2.929947041[/tex]
to the third decimal is 2.930 (i might be wrong on the rounding part)
SOMEBODY HELP ITS 30 POINTS
The distance in miles a car travels over time in minutes is shown in the table.
Distance (miles)
Time (minutes)
10
15
20
30
30
45
40
60
Kwame is not sure whether to use a line graph or a line plot to display the data. Which best explains which graph is a better representation of the data?
The line graph because it shows how the number of miles increases over the number of minutes.
The line graph because the numbers in the data table are equally spaced.
The line plot because numbers can be plotted on a number line.
The line plot because there are only a few data points.
Answer:
The line graph because it shows how the number of miles increases over the number of minutes.
Step-by-step explanation:
ake it or leave it
The best explanation graph is a better representation of the data below: "The line graph because it shows how the number of miles increases over the number of minutes."
What is a graph?A graph can be defined as a visual representation or a diagram that represents data or values.
The distance in miles a car travels over time in minutes is shown in the table.
Distance (miles) Time (minutes)
10 15
20 30
30 45
40 60
A line graph is a good choice for representing data that show a change in value over time. In this case, the value being measured is the distance in miles traveled, and the time is being used as the variable. A line graph is a good choice because it can show the change in distance over time, which is what the data represents.
Hence, the correct answer would be an option (A).
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ2
From the information in the diagram, what is m PHOTO ABOVE
Answer:
107 degrees
Step-by-step explanation:
i just did it
Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes. Drag steps to show how to find the total number of airplanes.
Answer:
56
Step-by-step explanation:
Given that:
Number of girls = 3
Number of boys = 4
Each student makes 8 paper airplanes.
To find:
The total number of airplanes = ?
Solution:
There can be two ways to find the total number of airplanes.
Method 1:
Keep on adding the number of airplanes for each student.
There are a total of 3+4 = 7 number of students.
First student makes = 8 airplanes
Second student makes = 8 airplanes
Third student makes = 8 airplanes
Fourth student makes = 8 airplanes
Fifth student makes = 8 airplanes
Sixth student makes = 8 airplanes
Seventh student makes = 8 airplanes
Total number of airplanes = 8 + 8 + 8 + 8 + 8 + 8 + 8 = 56
Method 2:
Simply multiply number of airplanes each student makes with the number of students.
i.e. 8 [tex]\times[/tex] 7 = 56
Which of the following numbers is not a perfect square?
a. 49
b. 121
c. 125
d. 144
Answer:
C. 125Step-by-step explanation:
49 = 7×7 ← a perfect square
121 = 11×11 ← a perfect square
144 = 12×12 ← a perfect square
but:
125 = 5×5×5 = 5√5×5√5 and 5√5 is not integer so 125 is not a perfect square
Answer:
C. 125
Step-by-step explanation:
source: trust me bro
